Pith Number

pith:2UEIMVQD

pith:2007:2UEIMVQDHB2AM7ICZFXRW7IDZP

not attested not anchored not stored refs pending

Oort groups and lifting problems

David Harbater, Robert Guralnick, Ted Chinburg

arxiv:0709.0284 v1 · 2007-09-03 · math.AG · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2UEIMVQDHB2AM7ICZFXRW7IDZP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:02:45.113802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5088656033874067d02c96f1b7d03cbf4791f2fc9d3524952f5b9ad6db9c15e

Aliases

arxiv: 0709.0284 · arxiv_version: 0709.0284v1 · doi: 10.48550/arxiv.0709.0284 · pith_short_12: 2UEIMVQDHB2A · pith_short_16: 2UEIMVQDHB2AM7IC · pith_short_8: 2UEIMVQD

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2UEIMVQDHB2AM7ICZFXRW7IDZP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d5088656033874067d02c96f1b7d03cbf4791f2fc9d3524952f5b9ad6db9c15e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31ac98282081807b3cff1b62c92ef4aa374a7eb4fd3c181acb672143030c411b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-09-03T18:24:04Z",
    "title_canon_sha256": "05f43c047ff0047e47329349a9c7b4a5f579616ca294fa51397f03f6e21d8123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0284",
    "kind": "arxiv",
    "version": 1
  }
}